All categories

2 years ago

Which expression is equivalent to 9x + 54 – 27 + 3y + 6y?

Mathematics

1 answer:

sammy [17]2 years ago

5 0

9y+9x=27
x+y=3

Answer: x+y=3

You might be interested in

Can someone help me 1.3x-338

Olegator [25]

Answer:

Equivalent expressions are expressions which are equal. This means they simplify to the same expression. Simplify the two expressions -1.3x - (-8.9x) = 7.6x and -1.3 + (-8.9X) = -10.2x.

Then simplify each option to determine if it is equal -1.3x - (-8.9x), -1.3 + (-8.9X) or neither:

−1.3x−8.9x = -10.2x. This is equivalent to -1.3 + (-8.9X) .

8.9x+(−1.3x) = 7.6x This is equivalent to -1.3x - (-8.9x) .

−8.9x+(−1.3x) = -10.2x This is equivalent to -1.3 + (-8.9X) .

8.9x−(−1.3x) = 10.2x Neither

−1.3x+8.9x = 7.6x This is equivalent to -1.3x - (-8.9x) .

−8.9x+1.3x = -7.6x Neither

Step-by-step explanation:

5 0

2 years ago

Five students visiting the student health center for a free dental examination during National Dental Hygiene Month were asked h

Andrews [41]

Answer:

[0.9 months, 32.69 months]

Step-by-step explanation:

The mean is

$\bf \bar x=\frac{5+17+12+21+29}{5}=16.8$

The standard deviation is

$\bf s=\sqrt{\frac{(5-16.8)^2+(17-16.8)^2+(12-16.8)^2+(21-16.8)^2+(29-16.8)^2}{5}}=8.1092$

Now, we have to find two values a and b such that the area under the Normal curve with mean 16.8 and standard deviation 8.1092 between a and b equals 95% = 0.95

Using a spreadsheet we find these values are

a = 0.906

b = 32.694

<h3>(See picture) </h3>

and our 95% confidence interval for the mean number of months elapsed since the last visit to a dentist for the population of students participating in the program rounded to two decimal places is

[0.9 months, 32.69 months]

4 0

2 years ago

The farmer looks out in the barnyard and Cesar pigs and the chickens. He says to his daughter, “ I count 40 heads in 100 feet. H

notsponge [240]

Answer:

There are 10 pigs and 30 chickens

Step-by-step explanation:

Let the number of pigs be x

let the number of chickens be y

Then there are 40 heads . So the total number of pigs and chickens is 40

x + y = 40-----------------------(1)

We know that pigs have 4 legs and chickens have 2 legs

4x + 2y = 100----------------------(2)

Solving (1) and (2)

multiply (1) by 2

2x + 2y = 80-------------------------(3)

subtract (3) from (2)

4x + 2y = 100

2x + 2y = 80

----------------------------

2x = 20

----------------------------

$x = \frac{20}{2}$

x = 10

Now Substituting x in (1), we get

10 + y = 40

y = 40 - 10

y = 30

7 0

2 years ago

How do you find the angle for n? If you can, please show work on how to get to the answer. Thank you!

PtichkaEL [24]

A triangle needs to add up to 180 degrees so 44 plus 37 is 81 so that last angle is 99 degrees then you do 180 minus that angle because those 2 angles need to equal up so not equals 81

5 0

2 years ago

Mr. Fishie bought a tank for $15 and 10 fish which cost $f each. If he gave the cashier two 20-dollar bills, what was his change

Gnesinka [82]

Answer:

$25 - $10f

Step-by-step explanation:

Fishie's name is fishy.

We know Mr. Fishie spent $15 on a tank. His 10 fish cost 10*$f. His total is:

Total =15 + 10*f

His change after 2 $20 would be:

$40 - ($15 - $10f), or

$25 - $10f

3 0

1 year ago